CES6106 - Advanced Structural Analysis - FALL 2003

C. O. HAYS (Room 475F / email : chays@ce.ufl.edu)

M-W-5 Weil 234, T-4-5 Weil 234

Catalog Description – CES 6106 – Advanced Structural Analysis I (4); Prereq: CES 4605, CES4702. Traditional methods of analysis for forces and deformations; modern matrix methods including direct stiffness method.

Goals: Review the student on the analysis of statically determinate structures and the use of classical methods of deflection computation. Train the student to visualize the relationships between forces and deformations in structures. Train the student in the use of energy methods, primarily Virtual Work. Train the student to solve for the redundant reactions of structures using the Flexibility Method. Introduce the student to the Slope Deflection Method as an introduction to the Stiffness Method of Structural Analysis. Introduce the student to the Moment Distribution Method to give them an intuitive approach to validate computer solutions. Train the student in the both the Intuitive and Direct Stiffness Methods of structural analysis. The student will be taught the matrix formulations and how to use simple software packages.

Objectives: The student will be able to determine the reactions and internal forces in statically determinate structures. The student will not only learn how to calculate displacements of structures; but will learn how to relate the applied forces, their corresponding deformations, and the final displaced shape of structures in both an intuitive and mathematical manner. The student will be able to solve indeterminate structures and demonstrate the equilibrium of the members and joints and draw shear and moment diagrams for the members of the structures. The student will be able to formulate matrix solutions for small structures and solve by matrix analysis procedures using a software package to do the matrix operations. The student will be able to use a simple structural analysis software package to solve large structures by the Direct Stiffness Method.

Outcomes: The student will be able to apply basic math, science and engineering principles to solve structural engineering problems. The student will be able to identify, formulate and solve statically determinate and statically indeterminate beams and frames using several basic methods and modern matrix analysis procedures. The student will be prepared to learn the Finite Element Method as an extension of the Direct Stiffness Method in a later course.

Course Details - Three Quizzes and homework each count 25% of grade. Assignments will generally involve hand calculations during the first half and computer assignments in second half. Student should be computer literate; but detailed programming is not required. Homework assigned in week N is due at the beginning of second class in week N+1 unless otherwise stated. Some of the computer assignments at the end of the semester will be more extensive than earlier ones and will take the place of a final exam.

Students with Disabilities: Students requesting classroom accommodation must first register with the Dean of Students Office. The Dean of Students Office will provide documentation to the student who must then provide this documentation to the instructor when requesting accommodation.

Academic Honesty: Students are reminded that they are expected to abide by the University policy on academic honesty. This policy may be found under “University of Florida Rules – 6C1-4.017 Student Affairs: Academic Honesty Guidelines.

CES6106 FALL 2003 C.O. Hays

ADVANCED STRUCTURAL ANALYSIS I

COURSE OUTLINE

DATE LESSON TOPIC

Aug. 25 1 Introduction

Aug. 26 1 Statics Review

Aug. 26 2 Stability/Static Indeterminacy

Aug. 27 2 Stability/Static Indeterminacy

Sep. 1 Labor Day

Sep. 2 3,4 Displacements/Moment(Curvature) Area Theorems

Sep. 2 5 Superposition

Sep. 3 6 General Beam Deflections

Sep. 8 7 Maximum Beam Deflections/Review

Sep. 9 8 Deflections of Fixed Base Frames

Sep. 9 9 Deflections of Frames With Pin&Roller

Sep. 10 10 Additional Topics on Frame Deflections

Sep. 15 13,14 Energy Methods/Virtual Work For Statics

Sep. 16 15 Virtual Work For Truss Deflections

Sep. 16 Quiz # 1 - Lessons 1-10

Sep. 17 16 Virtual Work For Beam/Frame Deflections

Sep. 22 16A Shear/Torsional Deflections

Sep. 23 17 1^o Statically Indeterminate Beams/Frames

Sep. 23 18 Secondary Effects

Sep. 24 19 1^o Statically Indeterminate Trusses

Sep. 29 20 Slope Deflection Equations

Sep. 30 21 Physical View of Moment Distribution

Sep. 30 22 Moment Distribution Procedure

Oct. 1 23 Frames With 1^o Sidesway Freedom

Oct. 6 24 Influence Lines

Oct. 7 I Matrix Methods / Introduction

Oct. 7 II Flexibility and Stiffness Coeff.

Oct. 8 III Examples

Oct. 13 IV/V Review of Matrix Algebra

Oct. 14 VI Intuitive Flexibility Method

Oct. 14 Quiz # 2 - Lessons 13-24, I-III

Oct. 15 VIII Intuitive Stiffness Method

Oct. 20 IX Trusses by ISM

Oct. 21 X Frames by ISM

Oct. 21 X Frames by ISM

Oct. 22 XI Strain Energy/Element and Structure DOF

Oct. 27 XII Direct Stiffness Method

Oct. 28 XIII Example With Element Rigid body dof

Oct. 28 XIV Example Without Element Rigid body dof

Oct. 29 XV Example Using Software for Matrix Algebra

Nov. 3 XVI Review of Element dof Concepts

Nov. 4 XVI Examples

Nov. 4 XXI Variable Section Members/Review

Nov. 5 XVII Simplified DSM(WONDER)

Nov. 10 XVIII Software Solutions

Nov. 11 Veteran’s Day

Nov. 12 XIX Restrained DOF

Nov. 17 XX Joint Eccentricities

Nov. 18 XXII Three Dimensional Frames

Nov. 18 QUIZ # 3 Lessons VIII-XIX

Nov. 19 XXIII Direction Cosines

Nov. 24 XXIV Classic Software for 2D Frames

Nov. 25 XXIVA Introduction to Visual Analysis

Nov. 25 XXIVB Visual Analysis

Nov. 26 XXV 3D Analysis Using visual Analysis

Dec. 1 XXVI P-D and P-y Analysis

Dec. 2 XXVII MathCad Examples

Nov. 2 XXVIII Visual Analysis Examples

Dec. 3 Modeling Techniques

Dec. 8 Modeling Techniques

Dec. 9 Modeling Techniques

Dec. 9 Modeling Techniques

Dec 10 Review